TSTP Solution File: MGT042+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : MGT042+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 09:09:12 EDT 2023
% Result : Theorem 0.20s 0.55s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT042+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 06:37:38 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.55 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.sVB45bu0SF/cvc5---1.0.5_13536.p...
% 0.20/0.55 ------- get file name : TPTP file name is MGT042+1
% 0.20/0.55 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_13536.smt2...
% 0.20/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.55 % SZS status Theorem for MGT042+1
% 0.20/0.55 % SZS output start Proof for MGT042+1
% 0.20/0.55 (
% 0.20/0.55 (let ((_let_1 (not (forall ((X $$unsorted) (T0 $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.smaller (tptp.hazard_of_mortality X T) (tptp.hazard_of_mortality X T0)))) (let ((_let_2 (tptp.external_ties X T0))) (let ((_let_3 (tptp.external_ties X T))) (let ((_let_4 (tptp.smaller_or_equal (tptp.internal_friction X T) (tptp.internal_friction X T0)))) (let ((_let_5 (tptp.stock_of_knowledge X T0))) (let ((_let_6 (tptp.stock_of_knowledge X T))) (=> (and (tptp.organization X) (not (tptp.has_immunity X T0)) (not (tptp.has_immunity X T))) (and (=> (and (tptp.greater _let_6 _let_5) _let_4 (tptp.greater_or_equal _let_3 _let_2)) _let_1) (=> (and (tptp.greater_or_equal _let_6 _let_5) _let_4 (tptp.greater _let_3 _let_2)) _let_1))))))))))))) (let ((_let_2 (forall ((X $$unsorted) (T0 $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.position X T0))) (let ((_let_2 (tptp.position X T))) (let ((_let_3 (tptp.external_ties X T0))) (let ((_let_4 (tptp.external_ties X T))) (=> (tptp.organization X) (and (=> (tptp.greater _let_4 _let_3) (tptp.greater _let_2 _let_1)) (=> (= _let_4 _let_3) (= _let_2 _let_1))))))))))) (let ((_let_3 (forall ((X $$unsorted) (T0 $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.capability X T0))) (let ((_let_2 (tptp.capability X T))) (let ((_let_3 (tptp.internal_friction X T0))) (let ((_let_4 (tptp.internal_friction X T))) (let ((_let_5 (tptp.stock_of_knowledge X T0))) (let ((_let_6 (tptp.stock_of_knowledge X T))) (=> (tptp.organization X) (and (=> (and (tptp.greater _let_6 _let_5) (tptp.smaller_or_equal _let_4 _let_3)) (tptp.greater _let_2 _let_1)) (=> (and (tptp.smaller_or_equal _let_6 _let_5) (tptp.greater _let_4 _let_3)) (tptp.smaller _let_2 _let_1)) (=> (and (= _let_6 _let_5) (= _let_4 _let_3)) (= _let_2 _let_1))))))))))))) (let ((_let_4 (forall ((X $$unsorted) (T0 $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.hazard_of_mortality X T0))) (let ((_let_2 (tptp.hazard_of_mortality X T))) (let ((_let_3 (tptp.position X T0))) (let ((_let_4 (tptp.position X T))) (let ((_let_5 (tptp.capability X T0))) (let ((_let_6 (tptp.capability X T))) (let ((_let_7 (tptp.smaller _let_2 _let_1))) (=> (and (tptp.organization X) (not (tptp.has_immunity X T0)) (not (tptp.has_immunity X T))) (and (=> (and (tptp.greater _let_6 _let_5) (tptp.greater_or_equal _let_4 _let_3)) _let_7) (=> (and (tptp.greater_or_equal _let_6 _let_5) (tptp.greater _let_4 _let_3)) _let_7) (=> (and (= _let_6 _let_5) (= _let_4 _let_3)) (= _let_2 _let_1)))))))))))))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.smaller X Y) (tptp.greater Y X))))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.greater_or_equal X Y) (or (tptp.greater X Y) (= X Y)))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.smaller_or_equal X Y) (or (tptp.smaller X Y) (= X Y)))))) (let ((_let_8 (tptp.hazard_of_mortality SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_9 (tptp.hazard_of_mortality SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_10 (tptp.smaller _let_9 _let_8))) (let ((_let_11 (tptp.external_ties SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_12 (tptp.external_ties SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_13 (tptp.greater _let_12 _let_11))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.internal_friction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_16 (tptp.internal_friction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_17 (tptp.smaller_or_equal _let_16 _let_15))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.stock_of_knowledge SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_20 (tptp.stock_of_knowledge SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_21 (tptp.greater_or_equal _let_20 _let_19))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_22 _let_18 _let_14 _let_10))) (let ((_let_24 (tptp.greater_or_equal _let_12 _let_11))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.greater _let_20 _let_19))) (let ((_let_27 (not _let_26))) (let ((_let_28 (or _let_27 _let_18 _let_25 _let_10))) (let ((_let_29 (and _let_28 _let_23))) (let ((_let_30 (tptp.has_immunity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_31 (tptp.has_immunity SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_32 (tptp.organization SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_31 _let_30 _let_29))) (let ((_let_35 (forall ((X $$unsorted) (T0 $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.smaller (tptp.hazard_of_mortality X T) (tptp.hazard_of_mortality X T0)))) (let ((_let_2 (tptp.external_ties X T0))) (let ((_let_3 (tptp.external_ties X T))) (let ((_let_4 (not (tptp.smaller_or_equal (tptp.internal_friction X T) (tptp.internal_friction X T0))))) (let ((_let_5 (tptp.stock_of_knowledge X T0))) (let ((_let_6 (tptp.stock_of_knowledge X T))) (or (not (tptp.organization X)) (tptp.has_immunity X T0) (tptp.has_immunity X T) (and (or (not (tptp.greater _let_6 _let_5)) _let_4 (not (tptp.greater_or_equal _let_3 _let_2)) _let_1) (or (not (tptp.greater_or_equal _let_6 _let_5)) _let_4 (not (tptp.greater _let_3 _let_2)) _let_1)))))))))))) (let ((_let_36 (not _let_34))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (or))) (let ((_let_39 (not _let_35))) (let ((_let_40 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_37) :args (_let_39))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_35))) (REFL :args (_let_36)) :args _let_38)) _let_37 :args (_let_36 true _let_35)))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_34 3)) _let_40 :args ((not _let_29) true _let_34)))) (let ((_let_42 (= _let_20 _let_19))) (let ((_let_43 (or _let_26 _let_42))) (let ((_let_44 (tptp.capability SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_45 (tptp.capability SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_46 (tptp.greater _let_45 _let_44))) (let ((_let_47 (or _let_27 _let_18 _let_46))) (let ((_let_48 (= _let_12 _let_11))) (let ((_let_49 (or _let_13 _let_48))) (let ((_let_50 (= _let_24 _let_49))) (let ((_let_51 (= _let_21 _let_43))) (let ((_let_52 (tptp.position SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_53 (tptp.position SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_54 (tptp.greater_or_equal _let_53 _let_52))) (let ((_let_55 (not _let_54))) (let ((_let_56 (not _let_46))) (let ((_let_57 (or _let_56 _let_55 _let_10))) (let ((_let_58 (= _let_53 _let_52))) (let ((_let_59 (tptp.greater _let_53 _let_52))) (let ((_let_60 (or _let_59 _let_58))) (let ((_let_61 (= _let_54 _let_60))) (let ((_let_62 (not _let_48))) (let ((_let_63 (or _let_62 _let_58))) (let ((_let_64 (= _let_16 _let_15))) (let ((_let_65 (tptp.smaller _let_16 _let_15))) (let ((_let_66 (or _let_65 _let_64))) (let ((_let_67 (= _let_17 _let_66))) (let ((_let_68 (or _let_14 _let_59))) (let ((_let_69 (not _let_59))) (let ((_let_70 (tptp.greater_or_equal _let_45 _let_44))) (let ((_let_71 (not _let_70))) (let ((_let_72 (or _let_71 _let_69 _let_10))) (let ((_let_73 (= _let_45 _let_44))) (let ((_let_74 (or _let_46 _let_73))) (let ((_let_75 (= _let_70 _let_74))) (let ((_let_76 (tptp.smaller _let_44 _let_45))) (let ((_let_77 (= _let_46 _let_76))) (let ((_let_78 (or (tptp.smaller _let_20 _let_19) _let_42))) (let ((_let_79 (not _let_64))) (let ((_let_80 (not _let_42))) (let ((_let_81 (or _let_80 _let_79 _let_73))) (let ((_let_82 (tptp.smaller_or_equal _let_20 _let_19))) (let ((_let_83 (= _let_82 _let_78))) (let ((_let_84 (tptp.greater _let_15 _let_16))) (let ((_let_85 (= _let_65 _let_84))) (let ((_let_86 (not _let_84))) (let ((_let_87 (tptp.smaller_or_equal _let_19 _let_20))) (let ((_let_88 (not _let_87))) (let ((_let_89 (or _let_88 _let_86 _let_76))) (let ((_let_90 (_let_23))) (let ((_let_91 (REFL :args _let_90))) (let ((_let_92 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))))) (let ((_let_93 (_let_6))) (let ((_let_94 (ASSUME :args _let_93))) (let ((_let_95 ((tptp.greater_or_equal X Y)))) (let ((_let_96 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_20 _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_93)) _let_94 :args (_let_51 false _let_6)))) (let ((_let_97 (not _let_51))) (let ((_let_98 (_let_51))) (let ((_let_99 (_let_7))) (let ((_let_100 (ASSUME :args _let_99))) (let ((_let_101 ((tptp.smaller_or_equal X Y)))) (let ((_let_102 (and _let_68 _let_63))) (let ((_let_103 (or _let_33 _let_102))) (let ((_let_104 (forall ((X $$unsorted) (T0 $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.position X T))) (let ((_let_2 (tptp.position X T0))) (let ((_let_3 (tptp.external_ties X T))) (let ((_let_4 (tptp.external_ties X T0))) (or (not (tptp.organization X)) (and (or (not (tptp.greater _let_3 _let_4)) (tptp.greater _let_1 _let_2)) (or (not (= _let_4 _let_3)) (= _let_2 _let_1))))))))))) (let ((_let_105 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_34 0)) (CONG (REFL :args (_let_34)) (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_32))) :args _let_38)) :args ((or _let_32 _let_34))) _let_40 :args (_let_32 true _let_34)))) (let ((_let_107 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_103)) :args ((or _let_33 _let_102 (not _let_103)))) _let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_105 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((tptp.greater (tptp.external_ties X T) (tptp.external_ties X T0))))) :args (_let_104)))) _let_105 :args (_let_103 false _let_104)) :args (_let_102 false _let_32 false _let_103)))) (let ((_let_108 (not _let_102))) (let ((_let_109 (not _let_58))) (let ((_let_110 (not _let_73))) (let ((_let_111 (and _let_57 _let_72 (or _let_110 _let_109 (= _let_9 _let_8))))) (let ((_let_112 (or _let_33 _let_31 _let_30 _let_111))) (let ((_let_113 (forall ((X $$unsorted) (T0 $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.hazard_of_mortality X T))) (let ((_let_2 (tptp.hazard_of_mortality X T0))) (let ((_let_3 (tptp.position X T))) (let ((_let_4 (tptp.position X T0))) (let ((_let_5 (tptp.capability X T))) (let ((_let_6 (tptp.capability X T0))) (let ((_let_7 (tptp.smaller _let_1 _let_2))) (or (not (tptp.organization X)) (tptp.has_immunity X T0) (tptp.has_immunity X T) (and (or (not (tptp.greater _let_5 _let_6)) (not (tptp.greater_or_equal _let_3 _let_4)) _let_7) (or (not (tptp.greater_or_equal _let_5 _let_6)) (not (tptp.greater _let_3 _let_4)) _let_7) (or (not (= _let_6 _let_5)) (not (= _let_4 _let_3)) (= _let_2 _let_1)))))))))))))) (let ((_let_114 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_115 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_112)) :args ((or _let_33 _let_31 _let_30 _let_111 (not _let_112)))) _let_106 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_34 1)) _let_40 :args ((not _let_31) true _let_34)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_34 2)) _let_40 :args ((not _let_30) true _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_114 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((tptp.smaller (tptp.hazard_of_mortality X T) (tptp.hazard_of_mortality X T0))))) :args (_let_113)))) _let_114 :args (_let_112 false _let_113)) :args (_let_111 false _let_32 true _let_31 true _let_30 false _let_112)))) (let ((_let_116 (not _let_111))) (let ((_let_117 (not _let_82))) (let ((_let_118 (and _let_47 (or _let_117 (not (tptp.greater _let_16 _let_15)) (tptp.smaller _let_45 _let_44)) _let_81))) (let ((_let_119 (or _let_33 _let_118))) (let ((_let_120 (forall ((X $$unsorted) (T0 $$unsorted) (T $$unsorted)) (let ((_let_1 (tptp.capability X T))) (let ((_let_2 (tptp.capability X T0))) (let ((_let_3 (tptp.internal_friction X T))) (let ((_let_4 (tptp.internal_friction X T0))) (let ((_let_5 (tptp.stock_of_knowledge X T))) (let ((_let_6 (tptp.stock_of_knowledge X T0))) (or (not (tptp.organization X)) (and (or (not (tptp.greater _let_5 _let_6)) (not (tptp.smaller_or_equal _let_3 _let_4)) (tptp.greater _let_1 _let_2)) (or (not (tptp.smaller_or_equal _let_5 _let_6)) (not (tptp.greater _let_3 _let_4)) (tptp.smaller _let_1 _let_2)) (or (not (= _let_6 _let_5)) (not (= _let_4 _let_3)) (= _let_2 _let_1))))))))))))) (let ((_let_121 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_122 (_let_120))) (let ((_let_123 (tptp.stock_of_knowledge X T0))) (let ((_let_124 (tptp.stock_of_knowledge X T))) (let ((_let_125 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_119)) :args ((or _let_33 _let_118 (not _let_119)))) _let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_121 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING ((tptp.greater _let_124 _let_123)))) :args _let_122))) _let_121 :args (_let_119 false _let_120)) :args (_let_118 false _let_32 false _let_119)))) (let ((_let_126 (not _let_118))) (let ((_let_127 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_118 0)) :args ((or _let_47 _let_126))) _let_125 :args (_let_47 false _let_118)))) (let ((_let_128 (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_27 _let_18 _let_46 (not _let_47)))))) (let ((_let_129 (_let_5))) (let ((_let_130 (ASSUME :args _let_129))) (let ((_let_131 (not _let_43))) (let ((_let_132 (and (or (not (tptp.greater _let_19 _let_20)) (not (tptp.smaller_or_equal _let_15 _let_16)) (tptp.greater _let_44 _let_45)) _let_89 _let_81))) (let ((_let_133 (or _let_33 _let_132))) (let ((_let_134 (and _let_42 _let_82))) (let ((_let_135 (ASSUME :args (_let_82)))) (let ((_let_136 (APPLY_UF tptp.smaller_or_equal))) (let ((_let_137 (ASSUME :args (_let_42)))) (let ((_let_138 (SYMM _let_137))) (let ((_let_139 (REFL :args (_let_20)))) (let ((_let_140 (CNF_AND_NEG :args (_let_29)))) (let ((_let_141 (REFL :args (_let_28)))) (let ((_let_142 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_58 _let_62 (not _let_63)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_102 1)) :args ((or _let_63 _let_108))) _let_107 :args (_let_63 false _let_102)) (REORDERING (CNF_OR_NEG :args (_let_60 1)) :args ((or _let_109 _let_60))) (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_13 _let_48 (not _let_49)))) (REORDERING (CNF_EQUIV_POS2 :args (_let_61)) :args ((or _let_54 (not _let_60) (not _let_61)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_53 _let_52 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_93)) _let_94 :args (_let_61 false _let_6)) (REORDERING (CNF_OR_POS :args _let_90) :args ((or _let_18 _let_10 _let_22 _let_14 (not _let_23)))) (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_10 _let_56 _let_55 (not _let_57)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_111 0)) :args ((or _let_57 _let_116))) _let_115 :args (_let_57 false _let_111)) (REORDERING (CNF_EQUIV_POS2 :args _let_98) :args ((or _let_21 _let_131 _let_97))) _let_96 (REORDERING (CNF_EQUIV_POS1 :args (_let_50)) :args ((or _let_25 _let_49 (not _let_50)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_12 _let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_93)) _let_94 :args (_let_50 false _let_6)) _let_128 _let_127 (REORDERING (CNF_OR_NEG :args (_let_43 0)) :args ((or _let_27 _let_43))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 2)) (CONG _let_141 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_38)) :args ((or _let_24 _let_28))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 1)) (CONG _let_141 _let_92 :args _let_38)) :args ((or _let_17 _let_28))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 0)) (CONG _let_141 (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_26))) :args _let_38)) :args ((or _let_26 _let_28))) _let_140 _let_41 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_134)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_135 _let_137) (SCOPE (TRUE_ELIM (TRANS (CONG _let_138 _let_139 :args _let_136) (CONG _let_139 (SYMM _let_138) :args _let_136) (TRUE_INTRO _let_135))) :args (_let_82 _let_42))) :args (_let_42 _let_82))) :args (true _let_134)) :args ((or _let_117 _let_80 _let_87))) (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_76 _let_88 _let_86 (not _let_89)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_132 1)) :args ((or _let_89 (not _let_132)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_133)) :args ((or _let_33 _let_132 (not _let_133)))) _let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((tptp.smaller_or_equal _let_124 _let_123)))) :args _let_122)) _let_121 :args (_let_133 false _let_120)) :args (_let_132 false _let_32 false _let_133)) :args (_let_89 false _let_132)) (REORDERING (CNF_EQUIV_POS1 :args (_let_85)) :args ((or (not _let_65) _let_84 (not _let_85)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args (_let_16 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.smaller X Y)))) :args _let_129)) _let_130 :args (_let_85 false _let_5)) (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_65 _let_64 (not _let_66)))) (REORDERING (CNF_EQUIV_POS2 :args (_let_83)) :args ((or _let_82 (not _let_78) (not _let_83)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_20 _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_101)) :args _let_99)) _let_100 :args (_let_83 false _let_7)) (REORDERING (CNF_OR_POS :args (_let_81)) :args ((or _let_73 _let_80 _let_79 (not _let_81)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_118 2)) :args ((or _let_81 _let_126))) _let_125 :args (_let_81 false _let_118)) (REORDERING (CNF_OR_NEG :args (_let_78 1)) :args ((or _let_80 _let_78))) (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_26 _let_42 _let_131))) (REORDERING (CNF_EQUIV_POS2 :args (_let_77)) :args ((or _let_46 (not _let_76) (not _let_77)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_130 :args (_let_44 _let_45 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.greater Y X)))) :args _let_129))) _let_130 :args (_let_77 false _let_5)) _let_128 _let_127 (REORDERING (CNF_OR_NEG :args (_let_74 1)) :args ((or _let_110 _let_74))) (REORDERING (CNF_OR_NEG :args (_let_74 0)) :args ((or _let_56 _let_74))) (REORDERING (CNF_EQUIV_POS2 :args (_let_75)) :args ((or _let_70 (not _let_74) (not _let_75)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_45 _let_44 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_93)) _let_94 :args (_let_75 false _let_6)) (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_10 _let_71 _let_69 (not _let_72)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_111 1)) :args ((or _let_72 _let_116))) _let_115 :args (_let_72 false _let_111)) (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_14 _let_59 (not _let_68)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_102 0)) :args ((or _let_68 _let_108))) _let_107 :args (_let_68 false _let_102)) (REORDERING (CNF_EQUIV_POS1 :args (_let_67)) :args ((or _let_18 _let_66 (not _let_67)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_16 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_101)) :args _let_99)) _let_100 :args (_let_67 false _let_7)) (REORDERING (CNF_EQUIV_POS1 :args _let_98) :args ((or _let_22 _let_43 _let_97))) _let_96 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 2)) (CONG _let_91 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) :args _let_38)) :args ((or _let_13 _let_23))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 1)) (CONG _let_91 _let_92 :args _let_38)) :args ((or _let_17 _let_23))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 0)) (CONG _let_91 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_38)) :args ((or _let_21 _let_23))) :args ((or _let_10 _let_23) true _let_87 false _let_89 false _let_84 false _let_85 false _let_65 false _let_82 false _let_83 true _let_64 false _let_81 false _let_78 false _let_42 true _let_76 false _let_77 true _let_26 false _let_47 true _let_73 true _let_46 true _let_74 false _let_75 true _let_70 false _let_72 false _let_59 false _let_68 false _let_66 false _let_67 false _let_43 false _let_51 false _let_13 false _let_17 false _let_21)) :args (_let_10 false _let_63 true _let_58 false _let_48 true _let_60 false _let_61 true _let_13 true _let_54 false _let_57 false _let_21 false _let_51 false _let_49 false _let_50 false _let_46 false _let_47 false _let_43 false _let_24 false _let_17 false _let_26 true _let_28 true _let_29 false _let_23)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_140 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_23 3)) _let_142 :args (_let_23 false _let_10)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_28 3)) _let_142 :args (_let_28 false _let_10)) _let_41 :args (false false _let_23 false _let_28 true _let_29)) :args (_let_7 _let_6 _let_5 (forall ((X $$unsorted) (Y $$unsorted)) (not (and (tptp.greater X Y) (tptp.greater Y X)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.greater X Y) (tptp.greater Y Z)) (tptp.greater X Z))) (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.smaller X Y) (= X Y) (tptp.greater X Y))) _let_4 _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.56 )
% 0.20/0.56 % SZS output end Proof for MGT042+1
% 0.20/0.56 % cvc5---1.0.5 exiting
% 0.20/0.56 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------